A body is projected with speed 4m/s up along the greatest slope of a smooth ramp inclined at 30° to the horizontal. Considering the energy of the body, calculate the distance along the ramp at which the body attain a speed of 1.2m/s The ramp was lowered to have a 20° inclination to the horizontal and further modified to have a rough surface having a friction coefficient of 0.15. Then a body weighing 20N is projected up with a velocity of 12m/s. Using the concepts of conservation of mechanical energy find; a. The maximum distance "S", that the body will move up the inclined plane, b. Velocity of the body when it returns to its original position.

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A body is projected with speed 4m/s up along the greatest slope of a smooth ramp inclined at 30° to the horizontal. Considering the energy of the body, calculate the distance along the ramp at which the body attain a speed of 1.2m/s The ramp was lowered to have a 20° inclination to the horizontal and further modified to have a rough surface having a friction coefficient of 0.15. Then a body weighing 20N is projected up with a velocity of 12m/s. Using the concepts of conservation of mechanical energy find; a. The maximum distance "S", that the body will move up the inclined plane, b. Velocity of the body when it returns to its original position.
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Step 1: Required to find the distance up the incline

Required 

1) Distance up the incline 

2) Distance up the incline and velocity at the original point.

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